New properties of the $varphi$-representation of integers

📝 Original Info

• Title: New properties of the $varphi$-representation of integers
• ArXiv ID: 2509.16150
• Date: 2025-09-19
• Authors: 정보 없음 (논문에 명시된 저자 정보가 제공되지 않음)

📝 Abstract

We prove a few new properties of the $\varphi$-representation of integers, where $\varphi = (1+\sqrt{5})/2$. In particular, we prove a 2012 conjecture of Kimberling.

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